Probability

4. The possible outcomes of throwing a coin and rolling a dice are Head and tail and 1, 2, 3, 4, 5 and 6 respective. So, the desired sample space is

S = { (H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)}

3. On tossing a coin the possible outcomes are Head and Tail. The sample space of tossing a coin four times is

S = {HHHH, THHH, HTHH, HHTH, HHHT, TTTT, HTTT, THTT, TTHT, TTTH, TTHH, HHTT, THTH, HTHT, THHT, HTTH}

2. When a dice is thrown, we have 36 the possible outcome.

1. On tossing a coin the possible outcomes are that of a head or a tail. So, the angle space of tossing a coin three times is

S = {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}

Students can download the NCERT Solutions for Class 12 Probability in PDF format from Shiksha.com. These Solutions provide best explanation which accurate and to the point for all the solutions. Students can visit the below given link and scroll down to click on the Download Free PDF option, then save the file in their device.

• NCERT Chapter 13 Probability Solutions for Class 12 Maths

The NCERT Solutions for Class 12 Probability provided by Shiksha are generally suffiecient for class 12th board exam preparation. These NCERT solutions are alignerd with the latest CBSE 2025 syllabus and offer step-by-step explanations for all textbook exercises. These solutions also cover important concepts of the chapter such as conditional probability, Bayes' Theorem, independent events, and total probability using simple language.

Yes, Our NCERT Solutions provides all the neccessary inforamtion for students to prapare for the CBSE class 11 exams.

• NCERT Solutions include step-by-step explaninations of each and every problem of the chapter,
• Our NCERT Solutions page also include details of all the important topics of the chapter and the weightage of the chapter too.
• Students can also get the PDF of the NCERT Solutions of the chapter, which are grat offliune resource.

Mutually exclusive events are events that cannot occur at the same time. we commonally call these events disjoint events also. AS per the definition given in the class 11 math probability chapter;

Two events A and B are said to be mutually exclusive if: P (A? B)=0

For Example:
When rolling a single die:

Let event A = getting 2 on top

Let event B = getting 3 on top

Since the number on the top cannot be 2 and 3 at the same time, So A and B are mutually exclusive events.

Conditional probability is the probability of an event occurring given that another event has already occurred. 

It is denoted as:

$P (A|B) = \frac {P (A \cap B)} {P (B)} \quad \text { (provided } P (B) > 0\text {)}$

Where

P (A|B):  is the probability of event A occurring given that event B has occurred.

There are several other concepts which are really impoertant for acing the chapter, We recommend students to use our NCERT Solutions for Probability for the conceptual clarity and doubt solving.

Chapter 14 Probability carries a weightage of around 8 -10 marks in class 11 annual exam of mathematics, which itself is proof how important is this chapter. Students must cover all the basic to ensure maximum marks in the class 11 maths exams. Students can use our NCERT solutons for Probability provided by Shiksha to get step-by-step solutions of all the exercises.